The core of ATTac-2001's entertainment-ticket-bidding strategy is again a
calculation of the expected marginal values of each ticket. For each
ticket, ATTac-2001 computes the expected value of having one more and one
fewer of the ticket. These calculations give bounds on the bid and
ask prices it is willing to post. The actual bid and ask prices are a
linear function of time remaining in the game: ATTac-2001 settles for a
smaller and smaller profit from ticket transactions as the game goes
on. Details of the functions of bid and ask price as a function of
game time and ticket value remained unchanged from
ATTac-2000 [Stone, Littman, Singh, KearnsStone
et al.2001].

Details of the entertainment-ticket expected marginal utility
calculations are given in Table 9.